A High-Order Symplectic FDTD Scheme for the Maxwell-Schrodinger System

被引：14

作者：

Xiang, Chen ^{[1
]}

Kong, Fanming ^{[1
]}

Li, Kang ^{[1
]}

Liu, Meng ^{[1
]}

机构：

[1] Shandong Univ, Sch Informat Sci & Engn, Jinan 250000, Shandong, Peoples R China

来源：

IEEE JOURNAL OF QUANTUM ELECTRONICS | 2018年 / 54卷 / 01期

关键词：

High-order FDTD; Maxwell-Schrodinger system; symplectic method; scalar and vector potentials; EQUATIONS;

D O I：

10.1109/JQE.2017.2782839

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In the finite-difference time-domain simulation of the Maxwell-Schrodinger system it is necessary to analyze multi-physics phenomena ruled by more than one governing equation. In this paper, a novel approach was proposed to solve the hybrid simulation. Using fourth-order spatial differences for the whole system and third-order symplectic integrators for the Schrodinger equation, the simulation was high-order-accurate and energy-conserving. This hybrid simulation is well suited to study the long-term light-matter interaction between electromagnetic radiation and charged particles in the semi-classical regime and can save computer resources with large time steps and coarse spatial grids.

引用

页数：8

共 25 条

[1]

Anderson B. I., 2001, THESIS

[2]

Cao QS, 2002, IEEE T MICROW THEORY, V50, P1578

[3] A finite-volume solution to 3D frequency-domain electromagnetic modelling using Lorenz-gauged magnetic vector and scalar potentials [J].

Chen Hui ;

Yin Chang-Chun ;

Deng Ju-Zhi .

CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION, 2016, 59 (08) :3087-3097

[4] A unified Hamiltonian solution to Maxwell-Schrodinger equations for modeling electromagnetic field-particle interaction [J].

Chen, Yongpin P. ;

Sha, Wei E. I. ;

Jiang, Lijun ;

Meng, Min ;

Wu, Yu Mao ;

Chew, Weng Cho .

COMPUTER PHYSICS COMMUNICATIONS, 2017, 215 :63-70

[5] Symmetric and symplectic ERKN methods for oscillatory Hamiltonian systems [J].

Chen, Zhaoxia ;

You, Xiong ;

Shi, Wei ;

Liu, Zhongli .

COMPUTER PHYSICS COMMUNICATIONS, 2012, 183 (01) :86-98

[6]

Garrison J.C., 2008, Quantum Optics

[7]

Gerry C., 2005, INTRO QUANTUM OPTICS

[8]

Griffiths D. J., 2018, Introduction to quantum mechanics, V3rd

[9] Nodal high-order methods on unstructured grids - I. Time-domain solution of Maxwell's equations [J].

Hesthaven, JS ;

Warburton, T .

JOURNAL OF COMPUTATIONAL PHYSICS, 2002, 181 (01) :186-221

[10] Classical analogy of Fano resonances [J].

Joe, Yong S. ;

Satanin, Arkady M. ;

Kim, Chang Sub .

PHYSICA SCRIPTA, 2006, 74 (02) :259-266

← 1 2 3 →